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Finding the Fourth Proportional to 5,100.53, 7,651.49 and 1,812.83

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Solution

The fourth proportional to 5,100.53, 7,651.49 and 1,812.83 is: 2,719.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.53 : 7,651.49 = 1,812.83 : x
  2. Step 2: Convert to fraction form
    5,100.53/7,651.49 = 1,812.83/x
  3. Step 3: Cross multiply
    5,100.53x = 7,651.49 × 1,812.83
  4. Step 4: Simplify right side
    5,100.53x = 13,870,803.30
  5. Step 5: Solve for x
    x = 13,870,803.30/5,100.53
  6. Step 6: Final answer
    x = 2,719.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.